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Algorithms on circular‐arc graphs

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What this work says

Outgoing claims: the papers this work cites, builds on, or argues with.

inferredcites →https://doi.org/10.1016/0022-247x(70)90282-9openalex-snapshot
Triangulated graphs and the elimination process
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What Are the Intersection Graphs of Arcs in a Circle?
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Minimizing the Number of States in Incompletely Specified Sequential Switching Functions
inferredcites →https://doi.org/10.1137/0201013openalex-snapshot
Algorithms for Minimum Coloring, Maximum Clique, Minimum Covering by Cliques, and Maximum Independent Set of a Chordal Graph
inferredcites →https://doi.org/10.2140/pjm.1965.15.835openalex-snapshot
Incidence matrices and interval graphs
inferredcites →https://doi.org/10.2140/pjm.1971.39.535openalex-snapshot
Matrix characterizations of circular-arc graphs
inferredcites →https://doi.org/10.2307/2315998openalex-snapshot
Combinatorial Geometry in the Plane.
inferredcites →https://doi.org/10.4064/fm-51-1-45-64openalex-snapshot
Representation of a finite graph by a set of intervals on the real line
inferredcites →https://doi.org/10.4153/cjm-1964-055-5openalex-snapshot
A Characterization of Comparability Graphs and of Interval Graphs

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

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An algorithm for a maximum clique of the intersection graph of isooriented rectangles on a cylinder
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Biclique graphs and biclique matrices
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Improper coloring of unit disk graphs
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Efficient algorithms for interval graphs and circular‐arc graphs
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NC algorithms for circular-arc graphs
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Independent Set Under a Change Constraint from an Initial Solution
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Contact Representations of Planar Graphs: Extending a Partial Representation is Hard
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Approximability of the Distance Independent Set Problem on Regular Graphs and Planar Graphs
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Algorithms on Subtree Filament Graphs
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Distance-d Independent Set Problems for Bipartite and Chordal Graphs
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Helly Circular-Arc Graph Isomorphism Is in Logspace
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Min-Max Results in Combinatorial Optimization
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Parameters of Partial Orders and Graphs: Packing, Covering, and Representation
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Estimating RNA Secondary Structure by Maximizing Stacking Regions
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The maximum clique problem
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Efficient parallel recognition of some circular arc graphs, I
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Efficient parallel recognition of some circular arc graphs, II
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Maximum weight independent set of circular-arc graph and its application
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Computational aspects of the Helly property: a survey
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Circular arc graphs: New uses and a new algorithm
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Intersection Graphs and the Clique Operator
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2-Nested Matrices: Towards Understanding the Structure of Circle Graphs
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Linear-Time Recognition of Helly Circular-Arc Models and Graphs
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A Simpler Linear-Time Recognition of Circular-Arc Graphs
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Canonical Representations for Circular-Arc Graphs Using Flip Sets
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Subexponential Parameterized Algorithms and Kernelization on Almost Chordal Graphs
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List Homomorphisms and Circular Arc Graphs
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Distance- $$d$$ independent set problems for bipartite and chordal graphs
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Minimum node disjoint path covering for circular-arc graphs
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Finding Hamiltonian circuits in proper interval graphs
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On a circle-cover minimization problem
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An O(n log n + m log log n) maximum weight clique algorithm for circular-arc graphs
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A parallel algorithm for finding a maximum clique of a set of circular arcs of a circle
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Parallel algorithms on circular-arc graphs
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Circular-arc graphs with clique cover number two
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Dominating sets and domatic number of circular arc graphs
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Periodic assignment and graph colouring
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New clique and independent set algorithms for circle graphs
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Intersection graphs of Helly families of subtrees
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Intersection graphs of concatenable subtrees of graphs
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Fast algorithms for generating all maximal independent sets of interval, circular-arc and chordal graphs
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Stability in circular arc graphs
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Generation of maximum independent sets of a bipartite graph and maximum cliques of a circular-arc graph
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A
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Interval Graphs
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Algorithms for clique-independent sets on subclasses of circular-arc graphs
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3D -interval-filament graphs
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Certifying algorithms for recognizing proper circular-arc graphs and unit circular-arc graphs
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Normal Helly circular-arc graphs and its subclasses
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Completing colored graphs to meet a target property
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On polygon numbers of circle graphs and distance hereditary graphs
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On some graph classes related to perfect graphs: A survey
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Essential obstacles to Helly circular-arc graphs
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Intersection models and forbidden pattern characterizations for 2-thin and proper 2-thin graphs
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Contractions in perfect graphs
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Induced matchings in intersection graphs
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Partial characterizations of clique-perfect graphs II: Diamond-free and Helly circular-arc graphs
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Characterizations and recognition of circular-arc graphs and subclasses: A survey
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Finding intersection models: From chordal to Helly circular-arc graphs
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New vertex ordering characterizations of circular-arc bigraphs
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Hadwiger’s conjecture for proper circular arc graphs
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Partial characterizations of clique-perfect graphs
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Improper Colourings of Unit Disk Graphs
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Characterization and recognition of Helly circular-arc clique-perfect graphs
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Colouring Some Classes of Perfect Graphs Robustly
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Balancedness of some subclasses of circular-arc graphs
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On the bend number of circular-arc graphs as edge intersection graphs of paths on a grid
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On the isomorphism problem for Helly circular-arc graphs
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Unit interval editing is fixed-parameter tractable
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Modification problems toward proper (Helly) circular-arc graphs
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Polynomial time recognition of unit circular-arc graphs
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Intersection representations of matrices by subtrees and unicycles on graphs
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Intersection models for 2-thin and proper 2-thin graphs
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Pivots, determinants, and perfect matchings of graphs
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Restricted circular-arc graphs and clique cycles
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Maximum weight independent sets and cliques in intersection graphs of filaments
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An approximation result for a periodic allocation problem
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Algorithmic aspects of clique-transversal and clique-independent sets
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Interval graphs
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Induced Matchings in Intersection Graphs
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Algorithms for recognizing bipartite-Helly and bipartite-conformal hypergraphs,
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Determining the number of internal stability of a graph
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An algorithm for the maximum internally stable set in a weighted graph
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COMPUTING MAXIMUM CLIQUES OF CIRCULAR ARCS IN PARALLEL*
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Using Fifth Generation Tools for Solving the Clique Number Problem
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Coloring intersection graphs of geometric figures with a given clique number
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An optimal algorithm for finding maximum induced bipartite subgraphs of circular-arc graphs
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A Stochastic Neuron Model for Finding a Near-Maximum Independent Set of a Circle Graph
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NC algorithms for finding depth-first-search trees in interval graphs and circular-arc graphs
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A parallel algorithm for maximum independent set of a circular-arc graph
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On the problem of finding all maximum weight independent sets in interval and circular-arc graphs
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Coloring a Family of Circular Arcs
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An Efficient Test for Circular-Arc Graphs
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Maximum Weight Clique Algorithms for Circular-Arc Graphs and Circle Graphs
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An Optimal Algorithm for Finding a Maximum Independent Set of a Circular-Arc Graph
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The Complexity of Coloring Circular Arcs and Chords
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An $O(n^2 )$ Algorithm for Coloring Proper Circular Arc Graphs
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An Efficient Representation for Filtrations of Simplicial Complexes
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Efficient Algorithms for the Domination Problems on Interval and Circular-Arc Graphs
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$O(M\cdot N)$ Algorithms for the Recognition and Isomorphism Problems on Circular-Arc Graphs
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A Linear Algorithm for Maximum Weight Cliques in Proper Circular Arc Graphs
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COMPUTING THE ALL-PAIRS LONGEST CHAINS IN THE PLANE
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Maximum max-k-clique subgraphs in cactus subtree graphs
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An Efficient Representation for Filtrations of Simplicial Complexes
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Efficient parallel algorithms for finding biconnected components of some intersection graphs
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On the Maximum Weight Clique Problem
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Maximum Neural Network with Nonlinear Self-Feedback and Its Application to Maximum Independent Set Problem
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Approximability of the Distance Independent Set Problem on Regular Graphs and Planar Graphs
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A Polynomial-Time Algorithm for Finding a Spanning Tree with Non-Terminal Set VNT on Circular-Arc Graphs
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Computational aspects of the Helly property: a survey
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A Spectrum Allocation and Auction Mechanism With The Maximum Weighed Independent Set
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Complexity Aspects of the Helly Property: Graphs and Hypergraphs
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Balancedness of subclasses of circular-arc graphs
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Complexity results on graphs with few cliques
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On economical set representations of graphs
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Isomorphism of graph classes related to the circular-ones property
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Isomorphism of graph classes related to the circular-ones property
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Combinatorial Problems on $H$-graphs
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An O(n2 algorithm for circular-arc graph recognition
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Maximum Independent Set And Maximum Induced Matching Problems For Competitive Programming
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Odd cycles in planar graphs
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Stabbing and separation
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